A study was recently conducted on the reaction of long distance truck drivers (after two hours of non-stop driving). Assume reaction times (after two hours of non-stop driving) are known to be normally distributed, with a mean of 1.5 seconds and a variance of 0.0625 seconds. Reaction times would be recorded (in seconds between the presentation of stimulus and braking) by subjecting a truck driver to a stimulated environment. What is the probability that a particular truck driver for two hours non-stop has reaction time of:

a. between 1.3 and 1.6 seconds?

b. between 0.88 and one second?

c. less than 0.97 seconds?